{
  "id": "1404.4591",
  "version": "v1",
  "published": "2014-04-17T17:42:24.000Z",
  "updated": "2014-04-17T17:42:24.000Z",
  "title": "Self-similar solutions to super-critical gKdV",
  "authors": [
    "Herbert Koch"
  ],
  "categories": [
    "math.AP"
  ],
  "abstract": "We construct self similar finite energy solutions to the slightly super-critical generalized KdV equation. These self similar solutions bifurcate as a function of the exponent $p$ from the soliton at the $L^2$ critical exponent.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2014-04-17T17:42:24.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "self-similar solutions",
      "super-critical gkdv",
      "super-critical generalized kdv equation",
      "construct self similar finite energy",
      "self similar finite energy solutions"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "doi": "10.1088/0951-7715/28/3/545",
      "journal": "Nonlinearity",
      "year": 2015,
      "month": "Mar",
      "volume": 28,
      "number": 3,
      "pages": 545
    },
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2015Nonli..28..545K"
    }
  }
}